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- W2951785514 abstract "We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves described by the discrete Burgers hierarchy as isogonal deformations. We also construct explicit formulas for the curve deformations by using the solution of linear diffusion differential/difference equations." @default.
- W2951785514 created "2019-06-27" @default.
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- W2951785514 date "2015-11-12" @default.
- W2951785514 modified "2023-10-18" @default.
- W2951785514 title "Isogonal Deformation of Discrete Plane Curves and Discrete Burgers Hierarchy" @default.
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- W2951785514 doi "https://doi.org/10.48550/arxiv.1511.04152" @default.
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